云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(60873206)

国家自然科学基金(60873206): 作品数：15被引量：13H指数：2; 导出分析报告; 相关作者：曹飞龙林绍波徐士英丁春梅熊静宜更多>>; 相关机构：中国计量学院杭州师范大学西安交通大学绍兴文理学院更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《系统科学与数学》《Science China Mathematics》更多>>; 相关主题：光滑模APPROXIMATIONNEURAL_NETWORKSESTIMATION球面更多>>; 相关领域：理学自动化与计算机技术电子电信化学工程更多>>

Cubature Formula for Spherical Basis Function Networks: 《Chinese Annals of Mathematics,Series B》2012年第6期807-814,共8页Shaobo LIN Feilong CAO Zongben XU Xiaofei GUO; Project supported by the Key Program of the National Natural Science Foundation of China(No.11131006);the National Natural Science Foundation of China(Nos.61075054,90818020,60873206); Some mathematical models in geophysics and graphic processing need to compute integrals with scattered data on the sphere.Thus cubature formula plays an important role in computing these spherical integrals.This paper...; 关键词：Cubature formula Spherical basis function Scattered data

MULTIVARIATE WEIGHTED BERNSTEIN-TYPE INEQUALITY AND ITS APPLICATIONS: 《Acta Mathematica Scientia》2012年第2期471-482,共12页曹飞龙林绍波; supported by the National Natural Science Foundation of China (90818020,60873206);the Foundation of Innovation Team of Science and Technology of Zhejiang Province of China (2009R50024); Bernstein inequality played an important role in approximation theory and Fourier analysis. This article first introduces a general system of functions and the socalled multivariate weighted Bernstein, Nikol＇skii, an...; 关键词：Bernstein-type inequality Nikol＇skii-type inequality Ul＇yanov-type inequal-ity approximation

Estimation of convergence rate for multi-regression learning algorithm被引量：1: 《Science China(Information Sciences)》2012年第3期701-713,共13页XU ZongBen ZHANG YongQuan CAO FeiLong; supported by National Basic Research Program of China (Grant No. 2007CB311002);National Natural Science Foundation of China (Grant Nos. 90818020, 60873206); In many applications, the pre-information on regression function is always unknown. Therefore, it is necessary to learn regression function by means of some valid tools. In this paper we investigate the regression pro...; 关键词：learning theory covering number rate of convergence entropy number

一种无纠缠态的量子秘密共享协议: 《电信科学》2012年第1期109-112,共4页张骏李有梅; 国家自然科学基金资助项目(No.60873206); 秘密共享是指将一个秘密按适当的方式进行隐藏或拆分,只有若干个参与者一同协作才能恢复该秘密,该技术在云计算领域中能够确保信息安全和数据保密。提出了一种不使用纠缠态的量子秘密共享协议,通过使用量子密码算法确保系统的安全性。...; 关键词：量子秘密共享量子态比较纠缠态

The Ridge Function Representation of Polynomials and an Application to Neural Networks被引量：3: 《Acta Mathematica Sinica,English Series》2011年第11期2169-2176,共8页Ting Fan XIE Fei Long CAO; Supported by National Natural Science Foundation of China （Grant No. 60873206） and Natural Science Foun- dation of Zhejiang Province of China （Grant No. Y7080235）; The first goal of this paper is to establish some properties of the ridge function representation for multivariate polynomials, and the second one is to apply these results to the problem of approximation by neural ne...; 关键词：Ridge function neural network POLYNOMIAL APPROXIMATION

The essential rate of approximation for radial function manifold被引量：1: 《Science China Mathematics》2011年第9期1985-1994,共10页LIN ShaoBo CAO FeiLong XU ZongBeni; supported by the National 973 Project (Grant No. 2007CB311002);National Natural Science Foundation of China (Grant Nos. 90818020,60873206); In this paper, we investigate the radial function manifolds generated by a linear combination of radial functions. Let Wp^r（B^d） be the usual Sobolev class of functions on the unit ball 54. We study the deviation fr...; 关键词：radial function rate of approximation Sobolev class ridge function

球面Jackson多项式逼近的正逆定理: 《数学年刊（A辑）》2011年第2期205-212,共8页熊静宜曹飞龙杨汝月; 国家自然科学基金(No.60873206)资助的项目; 研究了球面Jackson多项式J_(v,s)f的逼近阶,建立了该多项式逼近的强型正向与逆向不等式.利用球面光滑模较好地刻画了Jackson多项式的逼近性能,证明了存在与v和f无关的常数C_1和C_2,使得对于定义在球面上任意p-幂勒贝格可积或连续函数f成...; 关键词：球面 Jackson多项式逼近光滑模下界

α混合样本下多核正则分类器的学习速率: 《中国计量学院学报》2010年第4期349-352,共4页邢星曹飞龙; 国家自然科学基金资助项目(No.60873206); 给出了Tikhonov正则算法的多核正则分类器在α混合样本下的错分误差的界.利用α混合样本的Bernstein不等式,得到了α混合样本情况下的两个相关结果,然后将这两个结果应用到误差分解,并得到学习速率的估计.; 关键词：分类算法多核正则分类学习速率 α混合

球面光滑核漂移的L^p逼近: 《数学年刊（A辑）》2010年第5期615-624,共10页林绍波曹飞龙; 国家自然科学基金(No.60873206);浙江省自然科学基金(No.Y7080235)资助的项目; 将光滑的球面基函数φ嵌入到由一个不充分光滑的球面基函数Ψ生成的本性空间N_Ψ中,并在L^p度量下研究由φ的变换生成的函数在空间N_Ψ中的逼近性质,得到了该L^p逼近的误差估计.; 关键词：径向基函数散乱数据误差估计 L^P逼近球面

Lower estimation of approximation rate for neural networks被引量：1: 《Science in China(Series F)》2009年第8期1321-1327,共7页CAO FeiLong ZHANG YongQuan XU ZongBen; Supported by the National Natural Science Foundation of China (Grant No. 60873206);the National Basic Research Program of China(Grant No. 2007CB311002); Let SFd and ∏φ,n,d ={∑j^n=1bjφ（wj.x＋θj）：bj,θj∈R,wj∈R^d} be the set of periodic and Lebesgue＇s square-integrable functions and the set of feedforward neural network （FNN） functions, respectively. Denote ...; 关键词：feedforward neural networks APPROXIMATION topology structure of hidden layer RATE LOWER

国家自然科学基金(60873206)